[tex]E_p=E_c\\
m\cdot g\cdot h=\dfrac{m\cdot v^2}{2}\\
\text{Masa se simplifica si vom avea:}\\
v^2=2\cdot g\cdot h\\
\text{Din relatia lui Gauss putem inlocui viteza:}\\
v_0^2-2\cdot g\cdot h=2\cdot g\cdot h\\
v_0^2=4\cdot g\cdot h\\
h=\dfrac{v_0^2}{4\cdot g}\\
h=\dfrac{100}{4\cdot 10}=\dfrac{10}{4}=2, 5\\
\text{Deci }\boxed{h=2,5\ m} [/tex]